# Absolute value, Radicals, and roots

This week in Pre- Cal 11 I learned about Absolute Value and Radicals.

Absolute Value of a real number is defined as the principle square root of the square of a number, Principle Square Root is always a positive number, Square of a number is $\sqrt{25} = 5$ but is you have $\sqrt[2]{25}=5$ it is always a positive number in absolute value so it would be for both $\mid 5\mid$ . Absolute value is always the distance from zero.

When using Roots & Radicals: the $\sqrt [root]{radicand}$ the number in front of the root is the coefficient. if you have a square root it is always a positive in the radicand and the index is always a 2. If you have a cute root it is either negative or positive in the radicand and the index is always 3. The higher roots can be $\sqrt [4]{positive}$  $\sqrt [5]{positive/negative}$  $\sqrt [6]{positive}$

# “Father and Son” Plot Point Photos

In this project, based on the short story, “Father and Son” written by Bernard MacLaverty, photos will be inserted with matching quotes for each plot point, and an explanation indicating that the quotes relate to the story. “Father and Son” is taken place in the 60’s or 70’s in Ireland. This story is about a relationship between a Father and his son, and the difficulties they have faced in the past and present. It is written in the first-person point of view, switching perspectives throughout the entire story. The relationship that the father and son share is unhealthy at the least, and the story eventually leads to a tragic ending.

1) Exposition

At the beginning of the short story, the father is very protective of his son, ensuring that he is safe, “I know that in a few minutes he will come in to look at me sleeping. He will check that I came home last night” the son is bothered by the way his father is constantly concerned for him (MacLaverty 165).

2) Initiating incident

The son is always angry at his dad for hounding him with questions and being paranoid about the son’s actions, “Why do you always spy on me, you nosey old bastard?” he does not appreciate having someone care about what he is up to (MacLaverty 169).

3) Rising Action

Previously, the father and son have had conflict assuming he has been involved with drugs, “ I want to know if you are in danger again,” the father has been constantly checking in to ensure his son will not make the same mistakes (MacLaverty 167).

4) Rising Action

The father is reminding his son of how he took care of him when he had been unstable, “ I had to go and collect you. Like a dog,” hoping that the reassurance will prevent his son from acting out in the future (MacLaverty 168).

5) Rising Action

The dad does not necessarily trust his son, and expects more from him then to be out that late when he could be in a dangerous situation, “You should be in your bed. A man at your age. Its past one” (MacLaverty 166).

6) Climax

As his son is talking with friends at the front door, all seems well until, “There is a bang,” the father suspects something may have occurred (MacLaverty 169).

7) Falling Action

The father immediately drops everything to investigate the unexpected sound, “A dish-cloth drops from my hand and I run to the kitchen door.” He finds his son laying on the threshold (MackLaverty 169).

8) Denouement

At the end of the story, the father is so heartbroken to find his son on the floor bleeding. He tries to comfort his son by holding him and talking to him, “My son, let me put my arms around you,” as he has always wished for (MacLaverty 169).

# Character Sketch – Two Fishermen

Micheal Foster, a character from “The Two Fishermen” by Morley Callaghan. Micheal is an ambitious report, who hopes to become an important newspaper man ” to go to the city some day and become a journalist” (Callaghan 1). Micheal shows that he is embarrassed to be around K.Smith in public; hes feels judged when walking around with Smitty “Michael backed into the crowd and all  the time he felt dreadful, ashamed as though he were betraying Smitty”  (Callahan 4). Micheal is not a very good friend towards Smitty, he does not have his back and is scared to speak up. Micheal is also a character that only tries to please people and not himself. He is also the type of character that seems trustworthy, a “friend” and, a good all around guy to be with. In the story “The Two Fishermen” by Morley Callaghan, Micheal becomes friend with Smitty as known as “The Hangman” but Micheal does not know that till later. Once Smitty was being rudely attacked by small rocks by the towns people; Micheal turned his back and walked away. Micheal Foster, a character in the short story, “Two Fishermen” by Morley Callaghan, is nice one on one, knows everyone’s busy, gains trust, and does not like when people dislike him.

Sited :

https://goo.gl/images/fuJYjC

During this “planning a career” active I’ve discovered what I really was interested vs what I was sort of interesting but also what I wanted to do as a job or career. I’ve learned that for employability skills, my strengths are leadership/teamwork, organization and problem solving. My weakness are computer skills, Public speaking and writing skills. I feel as if the most I thing I learned was my learning skills. I found that I was a visual, kinaesthetic and auditory learner, which is pretty cool even though I kinda knew this it was just more clear. My personality is Extraversion which means I’m comfortable in groups, enjoy socializing, invigorated by being around others, and speaks their mind. Sensing, is organized ideas and good at explaining ideas, collects and presents information in an orderly and concrete fashion, focused, systematic, and detail focused. Thinking means, not influenced by personal bias, perceived as impartial, uncaring, focuses on final product. The last one is Judging, it means I’m thought, organized and enjoys planning, prefers concrete goals and deadlines, and logical. In the knowledge component, my subjects are Business and language Art. What interests me is being social, since I am a very sociable person and investigative, because I am getting new information and learning more. To keep me motivated I like to work independently and have good working conditions. In my occupation, I was compatible with health science. The reason I think this is because I am very into the medical and helping others, so health science is what I’m interested in. I would really like to focus on physics this semester getting a good grade so I can get into medical school. I would like to be a OR nurse so I would hope to be placed in a hospital, I have been very intrigued in nursing but and OR nurse would be a very fun job. I didn’t find anything to surprising since I have taking surveys like this in my previous classes.

# Week 2 – geometric series

One thing that I learned this week in pre Cal 11 is diverging and convergingDivering series means: there is no sum and it’s a finite or infinite geometric series; the formula used is $S_n=\frac {a(r^{n}-1)}{r-1}$ . To find out if it is diverging you use r>1 or r<-1. Converging series means: there is a sum and it’s infinite or finite geometric series; the formula used is $S_\infty=\frac{a}{1-r}$ . To find out if it is converging you use -1<r<1 or -1<decimals <1.

Example of Diverging series :

Blue line : X |Y                     Orange line :  X | Y
1 | 4                                                1 |4
2 | 8                                               2 | 1.6
3 | 16                                             3 |0.64
4 | 32                                            4 | 0.256
5 | 64                                             5 | 0.1024
6 | 128                                           6 | 0.04096

Example of Converging series:

purple line :  X | Y                       Red line : X | Y
1 | 4                                           1 |4
2 |-8                                          2 | -1.6
3 |16                                          3 |0.64
4 |-32                                        4 | -0.256
5 | 64                                         5 | 0.1024
6 |-128                                      6 | -0.04096

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# Capital Punishment in “Two Fishermen”

Capital Punishment is where someone would be punished for Breaking the certain laws, rape to murder, child rape, and treason were all on the range of law. Even though capital punishment is a brutal way of punishment, Canada supported it. In Canada we started capital punishment in 1865 and ended in 1976 this took place in lower and upper Canada. Since we stopped captain punishment we substitute it for a life sentence without any parole. In the story, “Two Fishermen” by Morley Callaghan the time It took place was during 1961 or 1962, this was only done for murder and no other punishment.

Thomas Delany did not deserve to have capital punishment. Thomas Delany was standing up for his wife, and killed the man who molested and hurt his wife. Thomas Delany should not be guilty of murder, murdered shown to the general public is wrong, legal or not It does not make Thomas Delany murdered in public a right for the reason of  illegally murdering someone. The third and last reason why Thomas Delany did not deserve to suffer from the capital punishment is because of how horrible and disgusting It is. I do not agree with capital punishment and believe that even if they do something horrible murder is the easy way out of it instead of guilty shaming them or making them suffer for a life time in jail. The murder Thomas Delany participated in was different than other murders, he did not harm an innocent person, only a person who harmed his wife.

# Week 1- Arithmetic sequence

6, 3,0, -3, -6

$t_n=t_1+(n-1)d$

$t_50=6+49(-3)$

$t_50=6+(-147)$

$t_50=-141$

$t_n=t_1+(n-1)d$

$t_n=6+(n-1)(-3)$

$t_n=6+(-3n)+3$

$t_n=(-3)=9$

$S_n=\frac{n}{2}(2t_1+(n-1)d)$

$S_{50}=\frac{50}{2}(2(6)+49(-3))$

$S_{50}=25(2(6)+49(-3))$

$S_{50}=25(12+-147)$

$S_{50}=25(-135)$

$S_{50}=-4725$